Quantum limits of Eisenstein series and scattering states

Y.N. Petridis; N. Raulf; Morten S. Risager

doi:10.4153/CMB-2011-200-2

Quantum limits of Eisenstein series and scattering states

Y.N. Petridis, N. Raulf, Morten S. Risager

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

7 Citations (Scopus)

Abstract

We identify the quantum limits of scattering states for the modular surface. This is obtained through the study of quantum measures of non-holomorphic Eisenstein series away from the critical line. We provide a range of stability for the quantum unique ergodicity theorem of Luo and Sarnak.

Original language	English
Journal	Canadian Mathematical Bulletin
Volume	56
Issue number	4
Pages (from-to)	814-826
Number of pages	13
ISSN	0008-4395
DOIs	https://doi.org/10.4153/CMB-2011-200-2
Publication status	Published - 1 Dec 2013

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title = "Quantum limits of Eisenstein series and scattering states",

abstract = "We identify the quantum limits of scattering states for the modular surface. This is obtained through the study of quantum measures of non-holomorphic Eisenstein series away from the critical line. We provide a range of stability for the quantum unique ergodicity theorem of Luo and Sarnak.",

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JO - Canadian Mathematical Bulletin

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Quantum limits of Eisenstein series and scattering states

Abstract

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